Question
Determine algebraically whether the function is even, odd, or neither. f(x) = -2x^4 - x^2
Determine algebraically whether the function is even, odd, or neither. f(x) = -2x^4 - x^2
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Koala Tutor
Koala Ai Support
A function is even if f(x) = f(-x) for all x in the domain of f. A function is odd if -f(x) = f(-x) for all x in the domain of f.
Let's check if the function is even:
f(-x) = -2(-x)^4 - (-x)^2 = -2x^4 - x^2 = f(x)
So, the function is even.
Let's check if the function is odd:
-f(x) = -(-2x^4 - x^2) = 2x^4 + x^2
This is not equal to f(-x), so the function is not odd.
Therefore, the function is even.